Properties of excited \(B_c\) states in QCD

DOI10.1016/J.NUCLPHYSB.2019.114726zbMATH Open1435.81234arXiv1905.11750OpenAlexW2947266114WikidataQ127361904 ScholiaQ127361904MaRDI QIDQ2186333

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Publication date: 9 June 2020

Published in: (Search for Journal in Brave)

Abstract: The mass and leptonic decay constants of recently observed two new excited

B_{c}

states at LHC are studied within the QCD sum rules. Considering the contributions of the ground and radially excited states, the mass and residues of the excited states of pseudoscalar and vector mesons are calculated in the framework of two different approaches of the QCD sum rules, namely, linear combinations of the corresponding sum rules and its derivatives as well as QCD sum rules with the incorporation of the least square fitting method. The obtained results on mass

m_{B_{c}^{+}} (2 S) = 6.88 p m 0.03 m G e V

and

m_{B_{c}^{* +}} (2 S) = 6.94 p m 0.03 m G e V

are in good agreement with the experimental data. Our predictions for the decay constants of these states are:

f_{B_{c}^{+}} (2 S) = 0.42 p m 0.02 m G e V

and

f_{B_{c}^{* +}} (2 S) = 0.46 p m 0.01 m G e V

, which can be checked at future experiments to be conducted at the LHC. Comparison of our results with the predictions of the other approaches on mass and residues is also presented.

Full work available at URL: https://arxiv.org/abs/1905.11750

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